Boundary conditions Partial differential equations

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jacob Mitch 2019-11-15

I have boundary conditions u(0,t)x = 0 and u(1,t) = 0. and initial conditions u(x,0) = u0(x) = −cos 2pix on the interval 0 ≤ x ≤ 1

So far I have created for the heat equation

function u0=heatic(x)
u0= -cos(2*pi*x);

I am now trying to create

function [pl,ql,pr,qr] = heatbc(xl,ul,xr,ur,t)
  pl = %...
  ql = %...
  pr = %...
  qr = %...
end

for the initial conditions but I dont understand how to plug in the boundary conditions for pl ql pr and qr.

Any help would be really appreciated.

Sciences Geoscience Oceanography and Hydrology

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